On the use of spatio-temporal multiresolution analysis in method of moments solutions of transient electromagnetic scattering
A novel method of moments approach to the solution of time-domain integral-equation formulation of electromagnetic scattering problems is presented. The method is based on a spatio-temporal multiresolution analysis. This analysis facilitates a basis from which a small number of expansion functions i...
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Veröffentlicht in: | IEEE transactions on antennas and propagation 2001-08, Vol.49 (8), p.1123-1129 |
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container_title | IEEE transactions on antennas and propagation |
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creator | Shifman, Y. Leviatan, Y. |
description | A novel method of moments approach to the solution of time-domain integral-equation formulation of electromagnetic scattering problems is presented. The method is based on a spatio-temporal multiresolution analysis. This analysis facilitates a basis from which a small number of expansion functions is selected via an iterative procedure and utilized to model the unknown current distribution. In contrast to marching-on-in-time sequential procedures, the proposed method models the unknown current simultaneously at all the time steps within the time frame of interest. This new method is applied to a one-dimensional (1-D) problem of electromagnetic plane wave interaction with a dielectric slab. A comparison of the computed results with results based on the analytic solution demonstrates that the method is capable of attaining accurate results while achieving substantial reduction in computation time and resources. |
doi_str_mv | 10.1109/8.943306 |
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The method is based on a spatio-temporal multiresolution analysis. This analysis facilitates a basis from which a small number of expansion functions is selected via an iterative procedure and utilized to model the unknown current distribution. In contrast to marching-on-in-time sequential procedures, the proposed method models the unknown current simultaneously at all the time steps within the time frame of interest. This new method is applied to a one-dimensional (1-D) problem of electromagnetic plane wave interaction with a dielectric slab. 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A comparison of the computed results with results based on the analytic solution demonstrates that the method is capable of attaining accurate results while achieving substantial reduction in computation time and resources.</description><subject>Antennas</subject><subject>Computation</subject><subject>Electromagnetic scattering</subject><subject>Electromagnetic transients</subject><subject>Equations</subject><subject>Exact solutions</subject><subject>Finite difference methods</subject><subject>Frequency domain analysis</subject><subject>Mathematical models</subject><subject>Method of moments</subject><subject>Moment methods</subject><subject>Multiresolution analysis</subject><subject>Plane waves</subject><subject>Radar scattering</subject><subject>Time domain analysis</subject><subject>Transient analysis</subject><issn>0018-926X</issn><issn>1558-2221</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2001</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNqF0b9v3CAUB3AUNVKuSaTMnVCHposvgMGGsYqaNtJJtyRSNgtzzwknG648PGTo_x4ul3bo0EzAlw8_HyEXnC05Z-ZKL42sa9YckQVXSldCCP6BLBjjujKieTghHxG3ZSi1lAvyex1ofgI6I9A4UNzZ7GOVYdrFZEc6zWP2CTCOc8kDtcGOz-iR-kAnyE9xs181xQlCRvqH4T7MyQb0JacwgsspTvYxQPaOorM5Q_Lh8YwcD3ZEOH9rT8n9zfe765_Vav3j9vrbqnJ1o3LVb5TVTjrVlseonlnrhmEQCuyml8YIIXsANQgBvKlL126sMK3oectbp4SpT8nlYd9dir9mwNxNHh2Mow0QZ-wMl43Szav88l8ptGx1se_DRqtyW1bg53_gNs6p_GM51tRct0yrgr4ekEsRMcHQ7ZKfbHruOOv2de10d6hroZ8O1APAX_Y2-QLU86BG</recordid><startdate>20010801</startdate><enddate>20010801</enddate><creator>Shifman, Y.</creator><creator>Leviatan, Y.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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subjects | Antennas Computation Electromagnetic scattering Electromagnetic transients Equations Exact solutions Finite difference methods Frequency domain analysis Mathematical models Method of moments Moment methods Multiresolution analysis Plane waves Radar scattering Time domain analysis Transient analysis |
title | On the use of spatio-temporal multiresolution analysis in method of moments solutions of transient electromagnetic scattering |
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